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gastown/internal/formula/formulas/towers-of-hanoi.formula.toml
mayor 7507cd85c4 fix: Sync embedded formulas with .beads/formulas
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Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
2026-01-04 23:13:44 -08:00

106 lines
2.7 KiB
TOML

description = """
AGENT EXECUTION PROTOCOL - Towers of Hanoi
PURPOSE: This is a durability proof, not computation. Steps are pre-computed.
Your job is to execute them mechanically, proving crash-recovery at scale.
EXECUTION LOOP:
1. Find current state: bd mol current <mol-id>
2. Find the next ready (unblocked) step
3. Close it: bd close <step-id>
4. Repeat until no ready steps remain
ON RESUME (after crash/restart/handoff):
- Same as fresh start. The molecule IS the state.
- Query `bd mol current <mol-id>`, continue from there.
- No memory of previous session needed.
DO:
- Close steps as fast as possible (they're trivial mechanical moves)
- Use `gt handoff` when context fills (proactive cycling)
- Trust the pre-computed solution - every move is already correct
DO NOT:
- Try to solve Hanoi yourself - moves are already computed
- Mark steps in_progress - just close them directly
- Ask for permission - this is GUPP territory, just execute
- Stop for human input - run autonomously until complete
MONITORING:
- Progress: Count closed children of the molecule
- For mega-molecules: Use convoy dashboard when available
- Completion: All steps closed = molecule complete
This proves Gas Town can execute arbitrarily long workflows with
nondeterministic idempotence - different sessions, same outcome.
"""
formula = "towers-of-hanoi"
version = 2
[vars]
[vars.source_peg]
default = "A"
description = "Starting peg"
[vars.target_peg]
default = "C"
description = "Target peg"
[vars.auxiliary_peg]
default = "B"
description = "Helper peg"
# 3-disk solution: 7 moves (2^3 - 1)
# Each step is a simple acknowledgment - the agent just closes it.
[[steps]]
id = "setup"
title = "Verify initial state"
description = "All 3 disks stacked on peg A. Largest on bottom."
[[steps]]
id = "move-1"
title = "Move disk 1: A → C"
description = "Move the smallest disk from peg A to peg C."
needs = ["setup"]
[[steps]]
id = "move-2"
title = "Move disk 2: A → B"
description = "Move disk 2 from peg A to peg B."
needs = ["move-1"]
[[steps]]
id = "move-3"
title = "Move disk 1: C → B"
description = "Move disk 1 from peg C to peg B."
needs = ["move-2"]
[[steps]]
id = "move-4"
title = "Move disk 3: A → C"
description = "Move the largest disk from peg A to peg C."
needs = ["move-3"]
[[steps]]
id = "move-5"
title = "Move disk 1: B → A"
description = "Move disk 1 from peg B to peg A."
needs = ["move-4"]
[[steps]]
id = "move-6"
title = "Move disk 2: B → C"
description = "Move disk 2 from peg B to peg C."
needs = ["move-5"]
[[steps]]
id = "move-7"
title = "Move disk 1: A → C"
description = "Move disk 1 from peg A to peg C."
needs = ["move-6"]
[[steps]]
id = "verify"
title = "Verify final state"
description = "All 3 disks now on peg C. Tower intact, all moves were legal."
needs = ["move-7"]